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math.CO2026
Strong Embeddings of Regular Graphs with Prescribed Automorphism Groups
Reymond Akpanya, Tom Goertzen, Meike Weiß
A classical theorem of Frucht states that every finite group occurs as the automorphism group of a finite graph. We prove an embedded analogue for regular graphs of arbitrary degre…
math.CO2024
Mathematical Foundations of Interlocking Assemblies
Tom Goertzen
The study of interlocking assemblies is an emerging field with applications in various disciplines. However, to this day, the mathematical treatment of these assemblies has been sp…
math.CO2024
Topologically Interlocking Blocks inside the Tetroctahedrille
Reymond Akpanya, Tom Goertzen, Alice C. Niemeyer
A topological interlocking assembly consists of rigid blocks together with a fixed frame, such that any subset of blocks is kinematically constrained and therefore cannot be remove…